Add spaghetti to boiling water and cook as label directs. Add tomatoes with their puree to skillet; heat to boiling on medium-high and cook 5 minutes to blend flavors, stirring and breaking up tomatoes with side of spoon. Stir in shrimp; cook 2 minutes or until they turn opaque throughout.

Drain pasta and return to saucepot. Add shrimp mixture and basil to pasta in saucepot; toss to coat.